MathDB

3

Part of 2002 Dutch Mathematical Olympiad

Problems(1)

triangle with lattice vertices and integer sidelenghts has even perimeter

Source: Dutch NMO 2002 p3

9/21/2019
A,BA, B and CC are points in the plane with integer coordinates. The lengths of the sides of triangle ABCABC are integer numbers. Prove that the perimeter of the triangle is an even number.
analytic geometrygeometryperimeter